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Basic Algebraic Operations | |

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Numbers | |

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Fundamental Laws and Operations of Algebra | |

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Calculators and Approximate Numbers | |

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Exponents | |

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Scientific Notation | |

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Roots and Radicals | |

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Addition and Subtraction of Algebraic Expressions | |

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Multiplication of Algebraic Expressions | |

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Division of Algebraic Expressions | |

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Solving Equations | |

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Formulas and Literal Equations | |

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Applied Word Problems | |

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Geometry | |

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Lines and Angles | |

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Triangles | |

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Quadrilaterals | |

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Circles | |

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Measurement of Irregular Areas | |

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Solid Geometric Figures | |

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Functions and Graphs | |

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Introduction to Functions | |

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More About Functions | |

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Rectangular Coordinates | |

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The Graph of a Function | |

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Graphs on the Graphing Calculator | |

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Graphs of Functions Defined by Tables of Data | |

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The Trigonometric Functions | |

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Angles | |

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Defining the Trigonometric Functions | |

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Values of Trigonometric Functions | |

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The Right Triangle | |

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Applications of Right Triangle | |

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Systems of Linear Equations | |

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Determinants | |

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Linear Equations | |

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Graphs of Linear Equations | |

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Solving Systems of Two Linear Equations in Two Unknowns Graphically | |

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Solving Systems of Two Linear Equations in Two Unknowns Algebraically | |

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Solving Systems of Two Linear Equations in Two Unknowns by Determinants | |

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Solving Systems of Three Linear Equations in Three Unknowns Algebraically | |

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Solving Systems of Three Linear Equations in Three Unknowns by Determinants | |

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Factoring and Fractions | |

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Special Products | |

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Factoring: Common Factor and Difference of Squares | |

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Factoring Trinomials | |

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The Sum and Difference of Cubes | |

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Equivalent Fractions | |

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Multiplication and Division of Fractions | |

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Addition and Subtraction of Fractions | |

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Equations Involving Fractions | |

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Quadratic Equations | |

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Quadratic Equations | |

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Solution by Factoring | |

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Completing the Square | |

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The Quadratic Formula | |

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The Graph of the Quadratic Function | |

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Trigonometric Functions of Any Angle | |

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Signs of the Trigonometric Functions | |

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Trigonometric Functions of Any Angle | |

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Radians | |

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Applications of Radian Measure | |

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Vectors and Oblique Triangles | |

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Introduction to Vectors | |

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Components of Vectors | |

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Vector Addition by Components | |

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Applications of Vectors | |

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Oblique Triangles, the Law Of Sines | |

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The Law of Cosines | |

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Graphs of the Trigonometric Functions | |

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Graphs of y = a sin x and y = a cos x | |

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Graphs of y = a sin bx and y = a cos bx | |

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Graphs of y = a sin (bx + c) and y = a cos (bx + c) | |

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Graphs of y = tan x, y = cot x, y= sec x, y = csc x | |

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Applications of Trigonometric Graphs | |

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Composite Trigonometric Curves | |

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Exponents and Radicals | |

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Simplifying Expressions with Integral Exponents | |

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Fractional Exponents | |

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Simplest Radical Forms | |

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Addition and Subtraction of Radicals | |

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Multiplication and Division of Radicals | |

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Complex Numbers | |

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Basic Definitions | |

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Basic Operations with Complex Numbers | |

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Graphical Representation of Complex Numbers | |

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Polar Form of a Complex Number | |

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Exponential Form of a Complex Number | |

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Products, Quotients, Powers, and Roots of Complex Numbers | |

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An Application to Alternating-Current (AC) Circuits | |

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Exponential and Logarithmic Functions | |

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The Exponential and Logarithmic Functions | |

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Graphs of y = b^x and y = log b x | |

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Properties of Logarithms | |

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Logarithms to the Base | |

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Natural Logarithms | |

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Exponential and Logarithmic Equations | |

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Graphs on Logarithmic and Semilogarithmic Paper | |

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Additional Types of Equations and Systems of Equations | |

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Graphical Solution of Systems of Equations | |

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Algebraic Solution of Systems of Equations | |

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Equations in Quadratic Form | |

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Equations with Radicals | |

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Equations of Higher Degree | |

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The Remainder Theorem and the Factor Theorem | |

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Synthetic Division | |

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The Roots of an Equation | |

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Rational and Irrational Roots | |

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Determinants and Matrices | |

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Determinants | |

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Expansion by Minors | |

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Some Properties of Determinants | |

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Matrices: Definitions and Basic Operations | |

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Multiplication of Matrices | |

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Finding the Inverse of a Matrix | |

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Matrices and Linear Equations | |

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Inequalities | |

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Properties of Inequalities | |

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Solving Linear Inequalities | |

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Solving Nonlinear Inequalities | |

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Inequalities Involving Absolute Values | |

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Graphical Solution of Inequalities with Two Variables | |

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Variation | |

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Ratio and Proportion | |

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Variation | |

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Sequences and the Binomial Theorem | |

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Arithmetic Sequences | |

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Geometric Sequences | |

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Infinite Geometric Sequences | |

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The Binomial Theorem | |

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Additional Topics in Trigonometry | |

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Fundamental Trigonometric Identities | |

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The Sum and Differences of Formulas | |

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Double-Angle Formulas | |

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Half-Angle Formulas | |

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Solving Trigonometric Equations | |

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The Inverse Trigonometric Functions | |

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Plane Analytic Geometry | |

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Basic Definitions | |

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The Straight Line | |

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The Circle | |

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The Parabola | |

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The Ellipse | |

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The Hyperbola | |

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Translation of Axes | |

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The Second-Degree Equation | |

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Polar Coordinates | |

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Curves in Polar Coordinates | |

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Introduction to Statistics | |

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Frequency Distributions | |

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Measures of Central Tendency | |

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Standard Deviations | |

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Normal Distributions | |

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Statistical Process Control | |

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Linear Regression | |

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Nonlinear Regression | |

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The Derivative | |

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Limits | |

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The Slope of a Tangent to a Curve | |

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The Derivative | |

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The Derivative as an Instantaneous Rate of Change | |

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Derivatives of Polynomials | |

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Derivatives of Products and Quotients of Functions | |

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The Derivative of a Power of a Function | |

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Differentiation of Implicit Functions | |

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Higher Derivatives | |

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Applications of the Derivatives | |

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Tangents and Normals | |

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Newton''s Method for Solving Equations | |

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Curvilinear Motion | |

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Related Rates | |

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Using Derivatives in Curve Sketching | |

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More on Curve Sketching | |

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Applied Maximum and Minimum Problems | |

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Differentials and Linear Approximations | |

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Integration | |

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Antiderivatives | |

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The Indefinite Integral | |

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The Area Under a Curve | |

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The Definite Integral | |

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Numerical Integration: The Trapezoidal Rule | |

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Simpson | |